LCM of 590, 494, 718, 435, 689
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 590, 494, 718, 435, 689 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 590, 494, 718, 435, 689. So, keep reading to learn more.
Given numbers are 590,494,718,435,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 590,494,718,435,689 is 241234009770.
Find LCM of 590,494,718,435,689 with Prime Factorization
| 2 | 590, 494, 718, 435, 689 |
| 5 | 295, 247, 359, 435, 689 |
| 13 | 59, 247, 359, 87, 689 |
| 59, 19, 359, 87, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 59 x 19 x 359 x 87 x 53 = 241234009770
Therefore, the lowest common multiple of 590,494,718,435,689 is 241234009770.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
590 x 494 x 718 x 435 x 689 = 62720842540200
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
590 : 1, 2, 5, 10, 59, 118, 295, 590
494 : 1, 2, 13, 19, 26, 38, 247, 494
718 : 1, 2, 359, 718
435 : 1, 3, 5, 15, 29, 87, 145, 435
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 590,494,718,435,689, is 1.
Now, the common factors can be found like this.
590:2x 5x 59
494:2x 13x 19
718:2x 359
435:3x 5x 29
689:13x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 5x 13 = 260
Therefore, the value for common factors is 260.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 62720842540200/(1x260)
LCM = 62720842540200/260
LCM = 241234009770
Thus, we can understand that the LCM of 590,494,718,435,689 is 241234009770.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 590, 494, 718, 435, 689
1. What is the LCM of 590, 494, 718, 435, 689?
Answer: LCM of 590, 494, 718, 435, 689 is 241234009770.
2. How to calculate the LCM of 590, 494, 718, 435, 689?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 590, 494, 718, 435, 689.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.